Mathematical and Numerical Methods for Complex Quantum Systems

Dispersive effects in infinite quantum systems

Mathieu Lewin

Paris-Cergy
[SLIDES]

In this talk, I will discuss the return to equilibrium for an infinitely extended interacting Fermi gas, through dispersive effects. The typical physical situation is that of an insulator or a metal, but the current mathematical technology only allows to deal with an homogeneous gas, described by Kohn-Sham's theory. Joint works with R. Frank (Caltech), E.H. Lieb (Princeton), J. Sabin (Cergy/Caltech) & R. Seiringer (Vienna).